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Finding the Fourth Proportional to 215,694.45, 323,542.50 and 65,934.16

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Solution

The fourth proportional to 215,694.45, 323,542.50 and 65,934.16 is: 98,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,694.45 : 323,542.50 = 65,934.16 : x
  2. Step 2: Convert to fraction form
    215,694.45/323,542.50 = 65,934.16/x
  3. Step 3: Cross multiply
    215,694.45x = 323,542.50 × 65,934.16
  4. Step 4: Simplify right side
    215,694.45x = 21,332,502,961.80
  5. Step 5: Solve for x
    x = 21,332,502,961.80/215,694.45
  6. Step 6: Final answer
    x = 98,901.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.